2(4x+1)=1(x+5)+1(x-3)

Solution for 2(4x+1)=1(x+5)+1(x-3) equation:

Simplifying
2(4x + 1) = 1(x + 5) + 1(x + -3)

Reorder the terms:
2(1 + 4x) = 1(x + 5) + 1(x + -3)
(1 * 2 + 4x * 2) = 1(x + 5) + 1(x + -3)
(2 + 8x) = 1(x + 5) + 1(x + -3)

Reorder the terms:
2 + 8x = 1(5 + x) + 1(x + -3)
2 + 8x = (5 * 1 + x * 1) + 1(x + -3)
2 + 8x = (5 + 1x) + 1(x + -3)

Reorder the terms:
2 + 8x = 5 + 1x + 1(-3 + x)
2 + 8x = 5 + 1x + (-3 * 1 + x * 1)
2 + 8x = 5 + 1x + (-3 + 1x)

Reorder the terms:
2 + 8x = 5 + -3 + 1x + 1x

Combine like terms: 5 + -3 = 2
2 + 8x = 2 + 1x + 1x

Combine like terms: 1x + 1x = 2x
2 + 8x = 2 + 2x

Add '-2' to each side of the equation.
2 + -2 + 8x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
0 + 8x = 2 + -2 + 2x
8x = 2 + -2 + 2x

Combine like terms: 2 + -2 = 0
8x = 0 + 2x
8x = 2x

Solving
8x = 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
8x + -2x = 2x + -2x

Combine like terms: 8x + -2x = 6x
6x = 2x + -2x

Combine like terms: 2x + -2x = 0
6x = 0

Divide each side by '6'.
x = 0

Simplifying
x = 0